4149813504 has 144 divisors (see below), whose sum is σ = 11324577600. Its totient is φ = 1348558848.

The previous prime is 4149813497. The next prime is 4149813511. The reversal of 4149813504 is 4053189414.

It is an interprime number because it is at equal distance from previous prime (4149813497) and next prime (4149813511).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10949187 + ... + 10949565.

It is an arithmetic number, because the mean of its divisors is an integer number (78642900).

Almost surely, 2^4149813504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662288800).

4149813504 is an abundant number, since it is smaller than the sum of its proper divisors (7174764096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4149813504 is a wasteful number, since it uses less digits than its factorization.

4149813504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 4149813504 is about 64419.0461276787. The cubic root of 4149813504 is about 1606.9765027097.

The spelling of 4149813504 in words is "four billion, one hundred forty-nine million, eight hundred thirteen thousand, five hundred four".